Zobrazeno 1 - 10 of 10 pro vyhledávání: '"Karim Yadi"'
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Akademický článek
Slow and fast systems with Hamiltonian reduced problems
Autor: Maamar Benbachir, Karim Yadi, Rachid Bebbouchi
Publikováno v: Electronic Journal of Differential Equations, Vol 2010, Iss 06,, Pp 1-19 (2010)
Slow and fast systems are characterized by having some of the derivatives multiplied by a small parameter $epsilon$. We study systems of reduced problems which are Hamiltonian equations, with or without a slowly varying parameter. Tikhonov's theorem
Externí odkaz: https://doaj.org/article/4bc2a61b0ff242c888c3344aca293d78
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3
Persistent competition models on two complementary nutrients with density-dependent consumption rates
Autor: Fethi Borsali, Karim Yadi
Publikováno v: Annali di Matematica Pura ed Applicata (1923 -). 198:1-25
We give a result of uniform persistence for a theoretical competition model of 3 species of microorganisms on 2 complementary nutrients in a chemostat with density-dependent growth functions. The proof consists of giving first sufficient conditions o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6cee54ee187da4398724c25ea2b46760
https://doi.org/10.1007/s10231-018-0758-4
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4
Asymptotic Behavior of a Chemostat Model with Constant Recycle Sludge Concentration
Autor: Karim Yadi, Mohamed Amine Hamra
Publikováno v: Acta Biotheoretica. 65:233-252
In this work, we study a several species aerobic chemostat model with constant recycle sludge concentration in continuous culture. We reduce the number of parameters by considering a dimensionless model. First, the existence of a global positive unif
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::728c8d84d6b7f15ddb4eb91c42034f07
https://doi.org/10.1007/s10441-017-9309-4
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5
Averaging on slow and fast cycles of a three time scale system
Autor: Karim Yadi
Publikováno v: Journal of Mathematical Analysis and Applications. 413:976-998
Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this av
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aa28a831987883d0bd08052ae8a0b2cb
https://doi.org/10.1016/j.jmaa.2013.12.044
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6
Coexistence of three predators competing for a single biotic resource
Autor: Tewfik Sari, Claude Lobry, Karim Yadi
Publikováno v: Advances in the Theory of Control, Signals and Systems with Physical Modeling
Advances in the Theory of Control, Signals and Systems with Physical Modeling, Springer-Verlag, 2010, Lecture Notes in Control and Information Sciences, 978-3-642-16134-6
Advances in the Theory of Control, Signals and Systems with Physical Modeling-Part III
Jean Lévine and Philippe Müllhaupt. Advances in the Theory of Control, Signals and Systems with Physical Modeling-Part III, Springer, pp.309-321, 2011, Lecture Notes in Control and Information Sciences-407, 978-3-642-16134-6. ⟨10.1007/978-3-642-16135-3_25⟩
Advances in the Theory of Control, Signals and Systems with Physical Modeling ISBN: 9783642161346
International audience; We construct a model of competition of three consumers for one single biotic resource ; simulations show that the three species coexist. Using singular perturbations theory we sketch a mathematical proof for this coexistence.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2caf30e4d58b99203b5c94f22f4c39d0
https://hal.archives-ouvertes.fr/hal-01189496
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7
Singular perturbations on the infinite time interval
Autor: Karim Yadi
We consider the slow and fast systems that belong to a small neighborhood of an unperturbed problem. We study the general case where the slow equation has a compact positively invariant subset which is asymptotically stable, and meanwhile the fast eq
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b60c7c65af3d63f87c5f0f4b5bdcac4
https://arima.episciences.org/1912
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8
Contribution to the study of the effect of the interspecificity on a two nutrients competition model
Autor: Karim Yadi, Fethi Borsali
Publikováno v: International Journal of Biomathematics. :1550008
We consider a model of the exploitative competition of two micro-organisms for two complementary nutrients in a chemostat and take into account the interspecific interaction. The growth functions occurring in the model are of general type and the int
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a9e26f0f50ba689b4d8f38b4be544074
https://doi.org/10.1142/s1793524515500084
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10
Uniform persistence of competition models of several species of microorganisms on two complementary nutrients in a chemostat
Autor: BORSALI, Fethi
Publikováno v: Systèmes dynamiques [math.DS]. Université Abou Bekr Belkaid Tlemcen (Algérie), 2015. Français
This thesis deals with the study of competition models of several species of microorganisms on two complementary nutrients in a chemostat. We present different models of competition which lead to a very classical result in the mathematical theory of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0832844043752a6da0409802a2a549ba
https://theses.hal.science/tel-01284016v2
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